Wiebe became eligible to join the Champions Tour when he turned 50 in September 2007. He won the first Champions Tour tournament that he played in at the SAS Championship. Wiebe matched Bobby Wadkins as the tour's youngest winner at 50 years and 10 days old.[5]

On July 29, 2013, Wiebe won his maiden senior major at the Senior Open Championship at the Royal Birkdale Golf Club. He defeated Bernhard Langer on the fifth hole of a sudden-death playoff with a par, after both players finished the tournament at nine-under-par. Wiebe began the final round four shots back of Langer, but produced a four-under round of 66 to make the playoff, after Langer had double-bogeyed the final hole of regulation play. Both players parred the first two extra holes before play was halted due to darkness, becoming the first ever Senior Open Championship to have a Monday finish. At the third extra hole, Langer missed a twelve footer for the victory, before Wiebe won at the fifth extra hole with a par, after Langer could not get up and down from a greenside bunker.[6] On September 22, 2013, Wiebe won his second event of the year at the Pacific Links Hawai'i Championship. He defeated Corey Pavin in a sudden-death playoff with a par on the second extra hole.